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تسجيل مستخدم جديدSharp quantitative isoperimetric inequalities in the $L^1$ Minkowski plane
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Benoit Kloeckner
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We prove that a plane domain which is almost isoperimetric (with respect to the $L^1$ metric) is close to a square whose sides are parallel to the coordinates axis. Closeness is measured either by $L^infty$ Haussdorf distance or Fraenkel asymmetry. In the first case, we determine the extremal domains.
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